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20242026
most citedDeterministic Global Optimization of the Acquisition Function in Bayesian Optimization: To Do or Not To Do?

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math.NA2026

Optimal Transport, Timesteppers, Newton-Krylov Methods and Steady States of Collective Particle Dynamics

Hannes Vandecasteele, Nicholas Karris, Alexander Cloninger +1

Timesteppers constitute a powerful tool in modern computational science and engineering. Although they are typically used to advance the system forward in time, they can also be vi…

math.NA2024

Using Linearized Optimal Transport to Predict the Evolution of Stochastic Particle Systems

Nicholas Karris, Evangelos A. Nikitopoulos, Ioannis G. Kevrekidis +2

We develop an Euler-type method to predict the evolution of a time-dependent probability measure without explicitly learning an operator that governs its evolution. We use lineariz…